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The Single Latin Square Design in Psychological Research

Published online by Cambridge University Press:  01 January 2025

John Gaito
John Gaito*
Affiliation:
Air Crew Equipment Laboratory, Philadelphia†
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Abstract

The expected value of mean square concept is used to determine the effects of the presence of interactions in the single Latin square design on F tests. The results indicate that as the number of random effects included in the experiment increase, more F tests are unbiased, and that some of these are valid F tests. However, when F test bias does occur it is almost always of a negative nature so that the conclusions stated are conservative ones. Positive F test bias may occur when the triple interaction is extant and when zero or one random variate is included in the experiment.

Type
Original Paper
Information
Psychometrika , Volume 23 , Issue 4 , December 1958 , pp. 369 - 378
Copyright
Copyright © 1958 The Psychometric Society

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Footnotes

†

Now at Wilkes College, Wilkes Barre, Pa.

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